Prime p₀= 2308369929769205537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 88 2 16 2 10 2 10 2 (?)
a_n: 0 2 54 56 132 134 222 224 240 242 252 254 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 52 76 88 16 10 10

SPT(16)	2308368765998263789	0 10 34 72 88 94 100 130 132 162 168 174 190 228 252 262	-1163770941748
TPT(14)	2308369262516497679	0 2 90 92 102 104 120 122 198 200 270 272 342 344	-667252707858
STPT(10)	2308369571224385477	0 2 54 56 72 74 90 92 144 146	-358544820060
STPT(10)	2308369663748786147	0 2 42 44 72 74 102 104 144 146	-266020419390
SPT(16)	2308369678304493641	0 8 38 60 78 80 90 126 242 278 288 290 308 330 360 368	-251464711896
STPT(10)	2308369828738026827	0 2 54 56 72 74 90 92 144 146	-101031178710
SPT(16)	2308370270181203399	0 84 92 114 120 134 138 150 182 194 198 212 218 240 248 332	340411997862
STPT(10)	2308370353224087767	0 2 24 26 42 44 60 62 84 86	423454882230
STPT(10)	2308370785657677287	0 2 30 32 42 44 54 56 84 86	855888471750
STPT(10)	2308371195069019427	0 2 12 14 42 44 72 74 84 86	1265299813890
STPT(10)	2308371275260123559	0 2 48 50 90 92 132 134 180 182	1345490918022